which of the following statements best describes the relationship between experimental and theoretical…

which of the following statements best describes the relationship between experimental and theoretical probabilities? a experimental and theoretical probabilities can be close, but they can never be exactly equal. b as the number of trials decreases, the experimental probability should get closer to the theoretical probability. c as the number of trials increases, the experimental probability should get closer to the theoretical probability. d as the theoretical probability increases, the experimental probability should get closer to the theoretical probability.

which of the following statements best describes the relationship between experimental and theoretical probabilities? a experimental and theoretical probabilities can be close, but they can never be exactly equal. b as the number of trials decreases, the experimental probability should get closer to the theoretical probability. c as the number of trials increases, the experimental probability should get closer to the theoretical probability. d as the theoretical probability increases, the experimental probability should get closer to the theoretical probability.

Answer

Brief Explanations:

The law of large - numbers in probability states that as the number of trials in an experiment increases, the experimental probability (the proportion of times an event occurs in an experiment) approaches the theoretical probability (the probability calculated based on mathematical models). Experimental and theoretical probabilities can be equal. The relationship is based on the number of trials, not on the value of the theoretical probability.

Answer:

C. As the number of trials increases, the experimental probability should get closer to the theoretical probability.